1
New Number: 4.23 | AESZ: | Superseeker: -1116 -349462868 | Hash: 4cde44ecce8658b2c2ca6b3c279f4e62
Degree: 4
\(\theta^4-2^{2} 3^{2} x\left(432\theta^4+864\theta^3+1023\theta^2+591\theta+131\right)+2^{4} 3^{5} 5 x^{2}\left(2592\theta^4+10368\theta^3+13788\theta^2+6840\theta+689\right)+2^{8} 3^{14} x^{3}(16\theta^2+48\theta+47)(2\theta+3)^2+2^{14} 3^{16} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4716, 31430916, 223425214992, 1654537886846532, ... --> OEIS Normalized instanton numbers (n0=1): -1116, -586989, -349462868, -300569202144, -280354383814176, ... ; Common denominator:...
\((5038848z^2+7776z-1)^2\)
| \(-\frac{ 1}{ 1296}-\frac{ 1}{ 1944}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 1296}+\frac{ 1}{ 1944}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 3}\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 4.39 | AESZ: 210 | Superseeker: -444/5 -1501908/5 | Hash: 155d0198a5b26de08a0c2caf680f0786
Degree: 4
\(5^{2} \theta^4+2^{2} 5 x\left(688\theta^4+1352\theta^3+981\theta^2+305\theta+35\right)+2^{4} x^{2}\left(5856\theta^4+7008\theta^3+96\theta^2-1260\theta-265\right)+2^{10} x^{3}\left(176\theta^4+120\theta^3+69\theta^2+30\theta+5\right)+2^{12} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -28, 4716, -1226800, 389349100, ... --> OEIS Normalized instanton numbers (n0=1): -444/5, 16653/5, -1501908/5, 199965534/5, -6573697776, ... ; Common denominator:...
\((256z^2+544z+1)(5+16z)^2\)
| \(-\frac{ 17}{ 16}-\frac{ 3}{ 4}\sqrt{ 2}\) | \(-\frac{ 5}{ 16}\) | \(-\frac{ 17}{ 16}+\frac{ 3}{ 4}\sqrt{ 2}\) | \(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(2\) | \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |